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SYLLABUS FOR BTECH DEGREE COURSE INPOLYMER SCIENCE AND ENGINEERING

PE 1101 Engineering Mathematics I (2012 Revised)

Unit I:

Ordinary differential equations: First order differential equations-Methods of solution and Simple applications Linear differentialequations of higher orders with constant coefficients-Methods ofsolution of these equations. Cauchy's linear differential equations.Simultaneous linear differential equations- Simple applications oflinear differential equations in engineering problems - ElectricalCircuits, Mechanical Systems

Unit II:

Infinite series: Comparison test, ratio test, series of positive andnegative terms, concept of absolute convergence, alternating series,Leibniz test (No proofs for any of the above tests) Power series:Interval of convergence of power series, Taylor and Maclaurin seriesof functions.

Leibniz formula for the nth derivative of the product of two functions(No proof), use of Leibniz formula for the determination of coefficientsof the power series.

Unit III:

Partial differentiation: Partial differentiation-Concept of partialderivative - Chain rule- Total derivative- Euler's theorem forhomogeneous functions, Differentials and their applications in errorsand approximations, Jacobians - Maxima minima of functions of twovariables (Proof of the result not required)-Simple applications.

Taylors series expansion for a function on two variables-Simpleproblems

Unit IV:

Integral calculus: Application of definite integrals: Area, Volume, Arclength, Surface area.

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Improper Integrals-Beta function-Gamma function.

Text Books:

1. Engineering Mathematics -Vol1:S.S.Sastry, PHI publishers

2. Advanced Engineering Mathematics: Erwin Kreyzig, WileyEastern

References:

Mathematical Techniques: Oxford University Press

Engineering Mathematics: T. Veerarajan, TMGH Publishers

Higher Engineering Mathematics: B. S.Grewal, Khanna Publishers

PE 1102 Engineering Physics

Unit I:

Interference of light - Michelson interferometer - Applications-Interfer-ence in thin films Antireflection coatings - Interference filters - Fringesproduced by air wedge - Testing of flat surfaces- Diffraction of light -Zone plate - Plane diffraction grating - Reflection and transmissiongratings - Determination of wavelength of light - Dispersive and re-solving powers - Polarization of light - Double refraction - Nicol's prism- Quarter and half wave plates - Elliptically and circularly polarizedlight - Optical activity - Specific rotation - Half-shade polarimeter -Applications of polarized light.

Unit II:

Lasers and Holography - Properties of laser light - Coherence of light- Principles of laser action - Population inversion - Optical pumping -Metastable states - Conditions for laser action, Types of lasers -Helium-Neon, Ruby and Semiconductor lasers - Applications oflasers Principles of holography - Recording and Reconstruction ofholograms - Applications of holography- Fiber optics - Lighttransmission through optical fiber - Numerical aperture - Multi andsingle mode fibers - Step index and graded index fibers - Fiber drawing- Fiber optic communication (basic ideas) - Ultrasonics - Generationof ultrasonic waves - Applications of Ultrasound.

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Unit III:

Quantum mechanics - Heisenberg's uncertainty principle -Experimental illustrations - Quantum mechanical wave equation - Timeindependent Schrodinger equation - Physical significance of wavefunction - Properties of the wave function - Solution of Schrodingerequation - Atomic and nuclear physics - The Vector atom model-Quantization of orbital angular momentum - Electron spin - Magneticmoment of orbital electron Paulis exclusion principle - Zeeman effect- Stark effect- Raman effect. Nuclear physics - Nuclear forces -Properties of the nucleus - Nuclear reaction cross section - Artificialradioactivity - Nuclear reactors - Nuclear fusion - Thermonuclearreactions - Controlled thermonuclear reactions.

Unit IV:

X- rays - Production of X-rays and X-ray spectra - Moseleys law -Properties of X-rays - Applications of X-rays - Diffraction of X-rays bycrystals - Braggs law Crystallography - Unit cell - Seven crystalsystems - Bravais space lattices - Packing factor Lattice planes andMiller indices - Energy bands in solids - Conductors,semiconductors and insulators - Intrinsic and extrinsicsemiconductors - Conductivity of semiconductors - Fermi level -Applications of semiconductors - p-n junctions - solar cells - Hall effectand its applications - Superconductivity - Superconducting transition- The Meissner effect - Type I and Type II superconductors - Isotopeeffect - High temperature superconductors - Josephson effect - SQUIDS- Applications of superconductors

Text and Reference Books:

1. J. Jacob Philip - A text book of Engineering Physics,Educational Publishers and Distributors 2002

2. A.S. Vasudeva - Modern Engineering Physics, S. Chand &Co.

3. M.R. Sreenivasan - Physics for Engineers - New AgeInternational

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PE 1103 Engineering Chemistry

Unit I

Solid state chemistry: Fundamentals, Bonding in solids, Born-Habercycle, Point defects, Methods to improve reactivity of solids, Freeelectron theory, Band theory, Fermi level in semiconductors,Molecular field theory of magnetic materials, Conventional andorganic superconductors, High temperature superconductors, Liquidcrystals, Applications. Solid surface characterisation: Electronspectroscopy for chemical analysis, Chemical shift, BET isotherm,Thermodynamics of adsorption.

Unit II

Electrochemistry: Fundamentals, Electrode potentials, Types ofelectrodes, Salt bridge, emf measurement. Concentration cells, Acidsand bases, Buffer solutions, pH measurements, Polarisation,Overvoltage. Power generation: Secondary cells, Fuel cells,Photovoltaic effect, Solar cells. Corrosion: Different forms ofcorrosion, Prevention of corrosion.

Chemical Kinetics: reaction rate, rate constant, rate law, reaction order,first order, second order, pseudo-first order reactions, integrated ratelaws, half-life of a reaction and its relation to rate constant. Molecularity,simple unimolecular and bimolecular reactions. Arrhenius equation.

Fast reactions - flash photolysis, flow techniques and relaxationmethods.

Unit III

Chemical Thermodynamics: Fundamentals, Molecular interpretationof internal energy, enthalpy and entropy, Heat of reaction, Kirchhofsequation, Troutons rule, Entropy changes accompanying differentprocesses, Nernst heat theorem, Third-law. Free energy: Dependenceon pressure and temperature, Gibbs-Helmholtz equation, Free energychanges and equilibrium constant, Chemical potential, Fugacity,Thermodynamics of biochemical reactions.

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Unit IV

Engineering materials: Industrial polymers-polymerization techniques,structure-property relationships, polymer additives, polymerprocessing methods (extrusion, injection, compression, transfer andblow molding methods). Nanomaterials: definition, classification andapplications.Nanometals and nanoceramics - examples and properties.Lubricants: classification, functions and properties. Mechanism oflubrication.Refractories: classification and properties. Portland cement, lime andplaster of Paris manufacture, setting and hardening.Chemistry of optical fibres, fullerenes and organoelectronic materials(introduction only).

Text Books

1. Peter Atkins and Julio de Paula, Elements of PhysicalChemistry, Oxford University Press, 2005

2. Shashi Chawla, A Text Book of Engineering Chemistry (3rdedn.).; Dhanpat Rai & Co, New Delhi, 2003.

3. Engineering Chemistry (2nd edn) K E George , Rani Joseph,Ushamani M.

References

1. Atkins, P.W., Physical Chemistry, Oxford University Press,UK, 1998

2. Bhatnagar, M. S.,Textbook of Pure & Applied PhysicalChemistry, A. H. Wheeler & Co, New Delhi, 1999.

3. Geoffrey Ozin, Andre Arsenault Nanochemistry: A ChemicalApproach to Nanomaterials.; Royal Society of Chemistry, U.K.,2005.

PE 1104 Engine